15356
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 29400
- Proper Divisor Sum (Aliquot Sum)
- 14044
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6960
- Möbius Function
- 0
- Radical
- 7678
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 115
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/32 ).at n=28A011942
- Number of partitions of n into parts not of the form 9k, 9k+4 or 9k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 3 are greater than 1.at n=46A035943
- Trajectory of 3 under map n->29n+1 if n odd, n->n/2 if n even.at n=17A037112
- a(n) = sigma[k](n) - phi(n)^k - d(n)^k for k=3.at n=23A079539
- n+p(n)+p(p(n)) is a square, where p(n) is the n-th prime.at n=8A116011
- a(n) = 2^n*(n^2 - n + 4)-4.at n=8A196508
- Number of length n+3 0..7 arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth.at n=9A248536
- Number of length n+6 0..1 arrays with every seven consecutive terms having the maximum of some three terms equal to the minimum of the remaining four terms.at n=10A250366
- Numbers n such that Bernoulli number B_{n} has denominator 690.at n=23A272186
- Sum of the squarefree parts of the partitions of n into 5 parts.at n=35A309480
- Number of palindromes < 10^n whose squares are also palindromes.at n=39A343098